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Rational approximation appears in many contexts throughout science and engineering, playing a central role in linear systems theory, special function approximation, and many others. There are many existing methods for solving the rational…

数值分析 · 数学 2018-12-03 Jeffrey M. Hokanson , Caleb C. Magruder

In order to improve the least mean squares (LMS) adaptation algorithm to accommodate the nonlinear transfer function, and to adjust the coefficients of adaptive filter during the actual implement of bias voltage and signal amplitude,…

信号处理 · 电气工程与系统科学 2022-07-26 Zhengyang Zhang

This paper focuses on target localization in a widely distributed multiple-input-multiple-output (MIMO) radar system. In this system, range measurements, which include the sum of distances between transmitter and target and the distances…

信号处理 · 电气工程与系统科学 2018-06-01 Hao Wang , Chi-Sing Leung , Hing Cheung So , Junli Liang , Ruibin Feng , Zifa Han

Multiplicative noise widely exists in radar images, medical images and other important fields' images. Compared to normal noises, multiplicative noise has a generally stronger effect on the visual expression of images. Aiming at the…

图像与视频处理 · 电气工程与系统科学 2026-04-14 Xiao Siyao , Huang Libing , Zhang Shunsheng

Prior probability models are a fundamental component of many image processing problems, but density estimation is notoriously difficult for high-dimensional signals such as photographic images. Deep neural networks have provided…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Zahra Kadkhodaie , Eero P. Simoncelli

Partial least squares regression (PLSR) has been a popular technique to explore the linear relationship between two datasets. However, most of algorithm implementations of PLSR may only achieve a suboptimal solution through an optimization…

计算机视觉与模式识别 · 计算机科学 2016-09-22 Haoran Chen , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

The sensor network localization, SNL, problem in embedding dimension r, consists of locating the positions of wireless sensors, given only the distances between sensors that are within radio range and the positions of a subset of the…

最优化与控制 · 数学 2010-02-02 Nathan Krislock , Henry Wolkowicz

We study the following basic machine learning task: Given a fixed set of $d$-dimensional input points for a linear regression problem, we wish to predict a hidden response value for each of the points. We can only afford to attain the…

机器学习 · 计算机科学 2018-06-07 Michał Dereziński , Manfred K. Warmuth

In this paper, we propose a sparse least squares (SLS) optimization model for solving multilinear equations, in which the sparsity constraint on the solutions can effectively reduce storage and computation costs. By employing variational…

最优化与控制 · 数学 2023-10-10 Xin Li , Ziyan Luo , Yang Chen

A new algorithm is presented for computing a direct solution to a system of consistent linear equations. It produces a minimum norm particular solution, a generalized inverse (of type {124}), and a null space projection operator. In…

环与代数 · 数学 2013-04-30 Michael F. Zimmer

In many signal processing applications, metadata may be advantageously used in conjunction with a high dimensional signal to produce a desired output. In the case of classical Sound Source Localization (SSL) algorithms, information from a…

声音 · 计算机科学 2023-08-09 Eric Grinstein , Vincent W. Neo , Patrick A. Naylor

We introduced the least-squares ReLU neural network (LSNN) method for solving the linear advection-reaction problem with discontinuous solution and showed that the method outperforms mesh-based numerical methods in terms of the number of…

数值分析 · 数学 2022-01-26 Zhiqiang Cai , Jingshuang Chen , Min Liu

It is a key to construct a similarity graph in graph-oriented subspace learning and clustering. In a similarity graph, each vertex denotes a data point and the edge weight represents the similarity between two points. There are two popular…

机器学习 · 计算机科学 2017-05-17 Liangli Zhen , Zhang Yi , Xi Peng , Dezhong Peng

We describe a parallel iterative least squares solver named \texttt{LSRN} that is based on random normal projection. \texttt{LSRN} computes the min-length solution to $\min_{x \in \mathbb{R}^n} \|A x - b\|_2$, where $A \in \mathbb{R}^{m…

数据结构与算法 · 计算机科学 2012-02-21 Xiangrui Meng , Michael A. Saunders , Michael W. Mahoney

This paper focuses on the problem of localising a transmitting mobile station (MS) using multiple cooperative base stations (BSs). There are two technical difficulties: one is the data association between intermediate parameters and…

信号处理 · 电气工程与系统科学 2019-11-21 Hengyan Liu , Wei Dai , Yuan Shen

An interference-normalised least mean square (INLMS) algorithm for robust adaptive filtering is proposed. The INLMS algorithm extends the gradient-adaptive learning rate approach to the case where the signals are non-stationary. In…

系统与控制 · 计算机科学 2016-02-29 Jean-Marc Valin , Iain B. Collings

The acquisition of MRI images offers a trade-off in terms of acquisition time, spatial/temporal resolution and signal-to-noise ratio (SNR). Thus, for instance, increasing the time efficiency of MRI often comes at the expense of reduced SNR.…

计算机视觉与模式识别 · 计算机科学 2011-10-28 Sudipto Dolui , Alan Kuurstra , Iván C. Salgado Patarroyo , Oleg V. Michailovich

Received Signal Strength (RSS) is considered as a promising measurement for indoor positioning. Lots of RSS-based localization methods have been proposed by its convenience and low cost. This paper focuses on two challenging issues in…

网络与互联网体系结构 · 计算机科学 2017-12-14 Wei Li , Zimu Yuan , Wei Zhao

The network localization problem with convex and non-convex distance constraints may be modeled as a nonlinear optimization problem. The existing localization techniques are mainly based on convex optimization. In those techniques, the…

最优化与控制 · 数学 2017-11-21 Ananya Saha , Buddhadeb Sau

$L_1$ regularization is used for finding sparse solutions to an underdetermined linear system. As sparse signals are widely expected in remote sensing, this type of regularization scheme and its extensions have been widely employed in many…

图像与视频处理 · 电气工程与系统科学 2018-05-07 Yilei Shi , Xiao Xiang Zhu , Wotao Yin , Richard Bamler